A260484 Complement of the Beatty sequence for e^(1/Pi) = A179706.

3, 7, 11, 14, 18, 22, 25, 29, 33, 36, 40, 44, 47, 51, 55, 58, 62, 66, 69, 73, 77, 80, 84, 88, 91, 95, 99, 102, 106, 110, 113, 117, 121, 124, 128, 132, 135, 139, 143, 146, 150, 154, 157, 161, 165, 168, 172, 176, 179, 183, 187, 190, 194, 198

Offset

1,1

Links

Karl V. Keller, Jr., Table of n, a(n) for n = 1..1000

Eric Weisstein's World of Mathematics, Beatty Sequence

Eric Weisstein's World of Mathematics, e

Eric Weisstein's World of Mathematics, Pi

Index entries for sequences related to Beatty sequences

Formula

a(n) = floor(n*e^(1/Pi)/(e^(1/Pi)-1)).

Example

For n = 5, floor(5*e^(1/Pi)/(e^(1/Pi)-1)) = 18.

Prog

(Python)
from sympy import E, pi, floor
for n in range(1, 101): print(floor(n*E**(1/pi)/(E**(1/pi)-1)), end=', ')
(PARI) vector(80, n, floor(n*exp(1/Pi)/(exp(1/Pi)-1))) \\ Michel Marcus, Aug 05 2015

Crossrefs

Cf. A179706 (e^(1/Pi)), A260483 (complement).

Sequence in context: A310203 A310204 A310205 * A343028 A000572 A059568

Adjacent sequences: A260481 A260482 A260483 * A260485 A260486 A260487

Keyword

nonn

Author

Karl V. Keller, Jr., Jul 26 2015

Status

approved